%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:07:28 EDT 2023

% Result   : Unsatisfiable 0.23s 0.57s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  19   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   32 (;  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] : equidistant(X,Y,Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z,V,V2,W] :
      ( ~ equidistant(X,Y,Z,V)
      | ~ equidistant(X,Y,V2,W)
      | equidistant(Z,V,V2,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ~ equidistant(u,v,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f23,plain,
    ! [Z,V,V2,W] :
      ( ! [X,Y] :
          ( ~ equidistant(X,Y,Z,V)
          | ~ equidistant(X,Y,V2,W) )
      | equidistant(Z,V,V2,W) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | ~ equidistant(X0,X1,X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f44,plain,
    equidistant(u,v,w,x),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f45,plain,
    equidistant(w,x,y,z),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f46,plain,
    ~ equidistant(u,v,y,z),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,u,v)
      | ~ equidistant(X0,X1,y,z) ),
    inference(resolution,[status(thm)],[f24,f46]) ).

fof(f53,plain,
    ~ equidistant(v,u,y,z),
    inference(resolution,[status(thm)],[f47,f22]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,v,u)
      | ~ equidistant(X0,X1,y,z) ),
    inference(resolution,[status(thm)],[f53,f24]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,y,z)
      | ~ equidistant(X2,X3,X0,X1)
      | ~ equidistant(X2,X3,v,u) ),
    inference(resolution,[status(thm)],[f54,f24]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,y,z)
      | ~ equidistant(u,v,X0,X1) ),
    inference(resolution,[status(thm)],[f55,f22]) ).

fof(f92,plain,
    ~ equidistant(w,x,y,z),
    inference(resolution,[status(thm)],[f66,f44]) ).

fof(f93,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f92,f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:56:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.23/0.57  % Refutation found
% 0.23/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.57  % Elapsed time: 0.013781 seconds
% 0.23/0.57  % CPU time: 0.037511 seconds
% 0.23/0.57  % Memory used: 10.164 MB
%------------------------------------------------------------------------------